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Alekssandra [29.7K]
3 years ago
8

Write the equation in standard form for the circle with center (-7,0) and radius 4 7

Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

x² + y² - 8x -14y - 105 = 0

Step-by-step explanation:

The centre of the circle is (-7,0) and the radius is (4,7) . Firstly let's find the radius using Distance formula .

=> D = √{ (-7-4)²+(0-7)²}

=> D = √ 11² + 7²

=> D = √ 121 +49

=> D = √170

Now using the standard equation of circle ⭕ ,

=> ( x - h)²+(y-k)² = r²

=> ( x - 4)²+(y-7)²= (√170)²

=> x² + 16 -8x + y² + 49 -14y = 170

=> x² + y² -8x -14y = 170 -65

=> x² + y² - 8x -14y - 105 = 0

<h3>• Hence the equation of circle is x² + y² - 8x -14y - 105 = 0 .</h3>
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Which of the following equations shows the correct way to apply the Commutative Property of Addition?
o-na [289]

Answer:

Commutative Property of Addition: a + b = b + a

Step-by-step explanation:

The Commutative Property of Addition implies that even on changing the order of addition the final result (i.e. the sum) remains the same.

  • Consider the addition of two numbers, say <em>a</em> and <em>b</em>:

a + b = b + a

Suppose <em>a</em> = 5 and <em>b</em> = 6, then:

<em>a</em> + <em>b</em> = 5 + 6 = 11

<em>b</em> + <em>a</em> = 6 + 5 = 11.

Thus, a + b = b + a.

  • Consider the addition of three numbers, say <em>a, b</em> and <em>c</em>:

a + b + c= a + c + b = b + a + c = c + a + b

Suppose <em>a</em> = 4, <em>b</em> = 3 and <em>c</em> = 6, then:

a + b + c = 4 + 3 + 6 = 13

a + c + b = 4 + 6 + 3 = 13

b + a + c = 3 + 4 + 6 = 13

c + a + b = 6 + 4 + 3 = 13.

Thus, a + b + c= a + c + b = b + a + c = c + a + b.

4 0
3 years ago
Chukwu, Abdul and kunle are to share $142, such that Abdul gets $11.00 less than Chukwu and $7.00 more than Kunle. How much is C
Elena-2011 [213]

Answer:

Chukwu's share is of $57.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Chukwu's share is x.

Abdul's share is y.

Kunle's share is z.

Chukwu, Abdul and kunle are to share $142

This means that x + y + z = 142

Abdul gets $11.00 less than Chukwu

This means that:

y = x - 11

$7.00 more than Kunle.

This means that:

y = z + 7

So

z = y - 7

z = x - 11 - 7

z = x - 18

How much is Chukwu's share?

We want to find x, so:

x + y + z = 142

x + x - 11 + x - 18 = 142

3x - 29 = 142

3x = 171

x = \frac{171}{3}

x = 57

Chukwu's share is of $57.

7 0
3 years ago
Can anyone help answer this thanks
Thepotemich [5.8K]
A) is 2.5 x 10^4
B) is 8.1 x 10^3
C) is 90.6 x 10^6
D) is 10.34 x 10^7
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3 0
3 years ago
Read 2 more answers
In a class of 120 students, 65% have at least
Zigmanuir [339]

We need to find how many students have at least one social media account.

We know that there are 120 students in the class.

We also know that there are 65% of students that have at least one social media account.

To find your answer, would multiply 120 by 0.65:

120 · 0.65 = 78

This means that 78 of the students has at least one social media account.

Answer:

78 students

4 0
3 years ago
5x + 4m = 43my + 6 solve for m
pav-90 [236]

9514 1404 393

Answer:

  m = (5x -6)/(43y -4)

Step-by-step explanation:

Subtract 4m+6 to separate m-terms from other terms.

  5x +4m -(4m +6) = 43my +6 -(4m +6)

  5x -6 = 43my -4m

  5x -6 = m(43y -4) . . . . factor out m

 (5x -6)/(43y -4) = m . . . . divide by the coefficient of m

7 0
3 years ago
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